Magma V2.19-8 Tue Aug 20 2013 16:17:38 on localhost [Seed = 1797977997] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1868 geometric_solution 5.50100132 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 -1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.013818590593 1.317877524743 0 4 5 5 0132 1302 3201 0132 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.518153206134 0.507109458952 6 0 6 4 0132 0132 2310 2031 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588862791075 0.762857194039 4 5 5 0 0213 2103 1230 0132 0 0 0 0 0 -1 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.890825834929 0.648766552299 3 2 0 1 0213 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.633289501485 0.476692308234 1 3 1 3 2310 2103 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252240913739 1.498939495879 2 2 6 6 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519249553563 0.137715661613 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_6'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_0101_6'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_0']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 6589441395/2354216*c_0101_6^13 - 18994634301/2354216*c_0101_6^12 + 2327461381/588554*c_0101_6^11 + 29588241739/2354216*c_0101_6^10 - 5198574383/294277*c_0101_6^9 + 220263691/2354216*c_0101_6^8 + 33723347837/2354216*c_0101_6^7 - 4913627445/588554*c_0101_6^6 - 5477097899/2354216*c_0101_6^5 + 4691290291/1177108*c_0101_6^4 - 2638998717/2354216*c_0101_6^3 - 625483581/2354216*c_0101_6^2 + 65212777/294277*c_0101_6 - 87187457/2354216, c_0011_0 - 1, c_0011_3 + 480342705/294277*c_0101_6^13 - 5095350831/1177108*c_0101_6^12 + 44949189/294277*c_0101_6^11 + 12509634507/1177108*c_0101_6^10 - 2839154086/294277*c_0101_6^9 - 7632463307/1177108*c_0101_6^8 + 7942957097/588554*c_0101_6^7 - 853320057/294277*c_0101_6^6 - 1802393339/294277*c_0101_6^5 + 4913486503/1177108*c_0101_6^4 + 103649347/1177108*c_0101_6^3 - 1213584341/1177108*c_0101_6^2 + 498440453/1177108*c_0101_6 - 32055467/588554, c_0011_4 + 9049225/588554*c_0101_6^13 - 30967555/588554*c_0101_6^12 + 9650125/588554*c_0101_6^11 + 75003751/588554*c_0101_6^10 - 93221745/588554*c_0101_6^9 - 25835433/588554*c_0101_6^8 + 57781542/294277*c_0101_6^7 - 28041250/294277*c_0101_6^6 - 36267987/588554*c_0101_6^5 + 23193060/294277*c_0101_6^4 - 5896617/294277*c_0101_6^3 - 3238855/294277*c_0101_6^2 + 6185953/588554*c_0101_6 - 1040856/294277, c_0011_5 + 9049225/588554*c_0101_6^13 - 30967555/588554*c_0101_6^12 + 9650125/588554*c_0101_6^11 + 75003751/588554*c_0101_6^10 - 93221745/588554*c_0101_6^9 - 25835433/588554*c_0101_6^8 + 57781542/294277*c_0101_6^7 - 28041250/294277*c_0101_6^6 - 36267987/588554*c_0101_6^5 + 23193060/294277*c_0101_6^4 - 5896617/294277*c_0101_6^3 - 3238855/294277*c_0101_6^2 + 6185953/588554*c_0101_6 - 1040856/294277, c_0101_0 - 1260080665/588554*c_0101_6^13 + 3354219007/588554*c_0101_6^12 - 150892457/588554*c_0101_6^11 - 8220343539/588554*c_0101_6^10 + 7540529131/588554*c_0101_6^9 + 4978646381/588554*c_0101_6^8 - 5256717668/294277*c_0101_6^7 + 1146933872/294277*c_0101_6^6 + 4766524277/588554*c_0101_6^5 - 1626876156/294277*c_0101_6^4 - 34720766/294277*c_0101_6^3 + 400166485/294277*c_0101_6^2 - 329335115/588554*c_0101_6 + 21433897/294277, c_0101_2 + 93562935/588554*c_0101_6^13 - 93693639/294277*c_0101_6^12 - 102119623/588554*c_0101_6^11 + 262223644/294277*c_0101_6^10 - 240436047/588554*c_0101_6^9 - 226545630/294277*c_0101_6^8 + 236901720/294277*c_0101_6^7 + 25154353/294277*c_0101_6^6 - 262630479/588554*c_0101_6^5 + 102238885/588554*c_0101_6^4 + 28172391/588554*c_0101_6^3 - 34351253/588554*c_0101_6^2 + 5488946/294277*c_0101_6 - 444809/294277, c_0101_6^14 - 281/95*c_0101_6^13 + 17/19*c_0101_6^12 + 124/19*c_0101_6^11 - 151/19*c_0101_6^10 - 42/19*c_0101_6^9 + 48/5*c_0101_6^8 - 413/95*c_0101_6^7 - 311/95*c_0101_6^6 + 358/95*c_0101_6^5 - 14/19*c_0101_6^4 - 63/95*c_0101_6^3 + 44/95*c_0101_6^2 - 11/95*c_0101_6 + 1/95 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB